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GrogVix
1 month ago
7

A kettle heats 1.75 kg of water. The specific latent heat of vaporisation of water is 3.34 x 106 J/kg. How much energy would be

needed to boil off the water? Write the answer out in full (i.e. not in standard form).
Physics
1 answer:
Softa [3K]1 month ago
7 0

The total energy required to evaporate the water is 5,845,000 J

Explanation:

The quantity of thermal energy needed to entirely vaporize a specific amount of a liquid substance that is already at its boiling point is represented by

Q=m\lambda_v

where

m indicates the mass of the substance

\lambda_v represents the specific latent heat of vaporization for that substance

In this scenario, the substance in question is water, with a mass of

m = 1.75 kg

The specific latent heat of vaporization for water is

\lambda_v = 3.34\cdot 10^6 J/kg

Assuming the water has reached its boiling point, the thermal energy necessary to vaporize it is

Q=(1.75)(3.34\cdot 10^6)=5,845,000 J

Discover more about specific heat:

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A plane monochromatic radio wave (λ = 0.3 m) travels in vacuum along the positive x-axis, with a time-averaged intensity I = 45
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Two planets having equal masses are in circular orbit around a star. Planet A has a smaller orbital radius than planet B. Which
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Answer:

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To approach this problem, we need to understand two key concepts.

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Thus:

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1 month ago
1)After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie's head when it r
Softa [3030]

Answer:

1)

v_{oy}=11.29\ m/s

2)

y=7.39\ m

Explanation:

Projectile Motion

When an object is projected near the surface of the Earth at an angle \theta to the horizontal, it follows a trajectory known as a parabola. The only force acting on it (ignoring wind resistance) is gravity, affecting the vertical axis.

The height of a projectile can be calculated using

\displaystyle y=y_o+V_{oy}t-\frac{gt^2}{2}

where y_o represents the initial height from ground level, v_{oy} is the vertical component of the initial velocity, and t is the elapsed time.

The vertical speed component is expressed as

v_y=v_{oy}-gt

1) To proceed, we will determine the initial vertical velocity component since we lack sufficient data to calculate the absolute value of v_o.

The peak height is attained when v_y=0, which allows us to compute the time to reach that height.

v_{oy}-gt_m=0

Solving for t_m

\displaystyle t_m=\frac{v_{oy}}{g}

Thus, the maximum height reached is

\displaystyle y_m=y_o+\frac{v_{oy}^2}{2g}

We know this value is equal to 8 meters

\displaystyle y_o+\frac{v_{oy}^2}{2g}=8

Continuing with the calculations for v_{oy}

\displaystyle v_{oy}=\sqrt{2g(8-y_o)}

Substituting known values yields

\displaystyle v_{oy}=\sqrt{2(9.8)(8-1.5)}

\displaystyle v_{oy}=11.29\ m/s

2) At t=1.505 seconds, the ball is positioned above Julie’s head; we can calculate

\displaystyle y=y_o+V_{oy}t-\frac{gt^2}{2}

\displaystyle y=1.5+(11.29)(1.505)-\frac{9.8(1.505)^2}{2}

\displaystyle y=1.5\ m+16,991\ m-11.098\ m

y=7.39\ m

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1 month ago
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